Details

analyze332.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
25%	74.9%	0.1%	8
37.4%	62.4%	0.1%	9
46.8%	53%	0.1%	10
55%	44.9%	0.1%	11
64.2%	35.7%	0.1%	12
70.3%	29.5%	0.1%	13
75.4%	24.4%	0.1%	14

sample16.0ms

Algorithm

intervals

Results

6.0ms	239×	body	80	valid
1.0ms	5×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	6×	body	320	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	148	9
1	148	9

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp_binary64`
3×	`*-un-lft-identity_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-+r+_binary64`

Counts

1 → 14

Calls

1 calls:

9.0ms

(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

simplify44.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5080	204

prune27.0ms

Filtered

11 candidates to 17 candidates (-54.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	3	18

Merged error: 0.0b

Counts

18 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 x (*.f64 (+.f64 x y) 2)) z)
0.0b	(+.f64 x (*.f64 (+.f64 x y) 2))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`*-un-lft-identity_binary64` `sum-log_binary64`
2×	`flip3-+_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`distribute-lft-out_binary64` `associate-+l+_binary64`

Counts

2 → 25

Calls

2 calls:

6.0ms	(+.f64 (+.f64 x (*.f64 (+.f64 x y) 2)) z)
4.0ms	(+.f64 x (*.f64 (+.f64 x y) 2))

series12.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+.f64 (+.f64 x (*.f64 (+.f64 x y) 2)) z)
6.0ms	(+.f64 x (*.f64 (+.f64 x y) 2))

simplify50.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5598	346

prune34.0ms

Filtered

21 candidates to 31 candidates (-47.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	28	3	31
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Merged error: 0.0b

Counts

34 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 x (.f64 (+.f64 x y) 2))) (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))
0.6b	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
0.6b	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
0.6b	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

9.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (+.f64 x y) 2))) (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))

series147.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (+.f64 x y) 2))) (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))
35.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
32.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
35.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))

simplify38.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5079	1554

prune135.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	97	6	103

Merged error: 0.0b

Counts

103 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (.f64 (+.f64 x y) 2)))) (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

81×	`cbrt-prod_binary64`
40×	`add-sqr-sqrt_binary64`
36×	`cbrt-div_binary64`
22×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `associate-r_binary64` `pow1/3_binary64` `associate-l_binary64` `unswap-sqr_binary64` `flip-+_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 110

Calls

4 calls:

13.0ms	(.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (.f64 (+.f64 x y) 2)))) (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))))
3.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))
3.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))
4.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))

series180.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (.f64 (+.f64 x y) 2)))) (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))))
42.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))
40.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))
44.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))

simplify42.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4914	2305
1	4914	2305

prune214.0ms

Filtered

95 candidates to 122 candidates (-28.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	120	8	128

Merged error: 0.0b

Counts

128 → 8

regimes187.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms

sample427.0ms

Algorithm

intervals

Results

203.0ms	7387×	body	80	valid
29.0ms	222×	body	1280	valid
15.0ms	157×	body	640	valid
10.0ms	139×	body	320	valid
4.0ms	31×	body	2560	valid
3.0ms	64×	body	160	valid
0.0ms	9×	body	80	invalid

Details

analyze332.0ms

sample16.0ms

simplify7.0ms

prune7.0ms

localize7.0ms

rewrite9.0ms

series6.0ms

simplify44.0ms

prune27.0ms

localize6.0ms

rewrite10.0ms

series12.0ms

simplify50.0ms

prune34.0ms

localize10.0ms

rewrite21.0ms

series147.0ms

simplify38.0ms

prune135.0ms

localize16.0ms

rewrite27.0ms

series180.0ms

simplify42.0ms

prune214.0ms

regimes187.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample427.0ms

Profiling